Alex Ovechkin scored two goals and had two assists, and Tom Wilson scored a goal and had his first three-assist NHL game for Washington (6-3-3), which has lost three in a row. Vitek Vanecek was pulled at 16:36 of the second period after allowing four goals on 14 shots, and Craig Anderson made six saves on eight shots in his Capitals debut.
"We let in too many goals tonight," Washington coach Peter Laviolette said. "We scored enough to win. I thought we could have scored more. There was a few that didn't bounce our way. I don't think it was a barrage coming at us defensively, but they capitalized on the chances that they did get."
The Flyers and Capitals are scheduled to play here again Tuesday.
Couturier scored on a rebound 31 seconds into the third period to give the Flyers a 5-4 lead. Laughton made it 6-4 at 17:51 with his third of the game, and Couturier scored into an empty net at 18:38 for the 7-4 final.
"I felt great all game, from the start to the end," Couturier said.